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QUESTION 5 An Operation Manager claims that the cycle time to complete a fabrication process is less than 38 minutes. The Operation Manager had collected 18 cycle time data, the 18 data gives the average cycle time of 35 minutes with standard deviation of 12.2 minutes. Assumes data is normally distributed. (a) Develop the null and alternate hypotheses for the Operation Manager's claim. (2 marks) (b) At significance level of 0.10, what is the critical value and decision rule for the hypotheses test? (3 marks) (c) Is there evidence to doubt the Operation manager's claim at a significance level of 0.10